Fluid Statics: Practice Problem & Solution
A barometer is constructed using a liquid (density = $760 \text{ kg/m}^3$). What would be the height of the liquid column, when a mercury barometer reads $76 \text{ cm}$? (density of mercury = $13600 \text{ kg/m}^3$) (2020-Covid)
Short Solution (Best for NEET):
To solve this problem, we apply the core principles of Fluid Statics. Understanding the underlying formula is key to arriving at the correct answer below:
Equating pressures, we get $h_1 \rho_1 g = h_2 \rho_2 g$. Substituting the given values, $$h_1 \times 760 = 0.76 \times 13600$$. Solving for $h_1$, we obtain $h_1 = 13.6 \text{ m}$.
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